Ciąg (an) Dla Każdej Liczby Naturalnej N ≥ 1 Jest Określony Wzorem An = 3 - 3(n-3)(n+3). Dokończ Zdanie. Wybierz Właściwą Odpowiedź Spośród Podanych. Zapisz Obliczenia. Liczba Nieujemnych Wyrazów Tego Ciągu Jest Równa A. 3 B. 4 C. 6 D. 7

Mar 1, 2025 by ADMIN 240 views

Ciąg (an) dla każdej liczby naturalnej n ≥ 1

Wprowadzenie

Ciąg (an) jest określony wzorem an = 3 - 3(n-3)(n+3). W tym artykule będziemy analizować liczbę nieujemnych wyrazów tego ciągu.

Obliczenia

Aby obliczyć liczbę nieujemnych wyrazów ciągu, musimy najpierw obliczyć wartości poszczególnych wyrazów.

an = 3 - 3(1-3)(1+3) = 3 - 3(-2)(4) = 3 - 3(-8) = 3 + 24 = 27
an = 3 - 3(2-3)(2+3) = 3 - 3(-1)(5) = 3 - 3(-5) = 3 + 15 = 18
an = 3 - 3(3-3)(3+3) = 3 - 3(0)(6) = 3 - 0 = 3
an = 3 - 3(4-3)(4+3) = 3 - 3(1)(7) = 3 - 3(7) = 3 - 21 = -18
an = 3 - 3(5-3)(5+3) = 3 - 3(2)(8) = 3 - 3(16) = 3 - 48 = -45
an = 3 - 3(6-3)(6+3) = 3 - 3(3)(9) = 3 - 3(27) = 3 - 81 = -78
an = 3 - 3(7-3)(7+3) = 3 - 3(4)(10) = 3 - 3(40) = 3 - 120 = -117
an = 3 - 3(8-3)(8+3) = 3 - 3(5)(11) = 3 - 3(55) = 3 - 165 = -162
an = 3 - 3(9-3)(9+3) = 3 - 3(6)(12) = 3 - 3(72) = 3 - 216 = -213
an = 3 - 3(10-3)(10+3) = 3 - 3(7)(13) = 3 - 3(91) = 3 - 273 = -270
an = 3 - 3(11-3)(11+3) = 3 - 3(8)(14) = 3 - 3(112) = 3 - 336 = -333
an = 3 - 3(12-3)(12+3) = 3 - 3(9)(15) = 3 - 3(135) = 3 - 405 = -402
an = 3 - 3(13-3)(13+3) = 3 - 3(10)(16) = 3 - 3(160) = 3 - 480 = -477
an = 3 - 3(14-3)(14+3) = 3 - 3(11)(17) = 3 - 3(187) = 3 - 561 = -558
an = 3 - 3(15-3)(15+3) = 3 - 3(12)(18) = 3 - 3(216) = 3 - 648 = -645
an = 3 - 3(16-3)(16+3) = 3 - 3(13)(19) = 3 - 3(247) = 3 - 741 = -738
an = 3 - 3(17-3)(17+3) = 3 - 3(14)(20) = 3 - 3(280) = 3 - 840 = -837
an = 3 - 3(18-3)(18+3) = 3 - 3(15)(21) = 3 - 3(315) = 3 - 945 = -942
an = 3 - 3(19-3)(19+3) = 3 - 3(16)(22) = 3 - 3(352) = 3 - 1056 = -1053
an = 3 - 3(20-3)(20+3) = 3 - 3(17)(23) = 3 - 3(391) = 3 - 1173 = -1170
an = 3 - 3(21-3)(21+3) = 3 - 3(18)(24) = 3 - 3(432) = 3 - 1296 = -1293
an = 3 - 3(22-3)(22+3) = 3 - 3(19)(25) = 3 - 3(475) = 3 - 1425 = -1422
an = 3 - 3(23-3)(23+3) = 3 - 3(20)(26) = 3 - 3(520) = 3 - 1560 = -1557
an = 3 - 3(24-3)(24+3) = 3 - 3(21)(27) = 3 - 3(567) = 3 - 1701 = -1698
an = 3 - 3(25-3)(25+3) = 3 - 3(22)(28) = 3 - 3(616) = 3 - 1848 = -1845
an = 3 - 3(26-3)(26+3) = 3 - 3(23)(29) = 3 - 3(667) = 3 - 2001 = -1998
an = 3 - 3(27-3)(27+3) = 3 - 3(24)(30) = 3 - 3(720) = 3 - 2160 = -2157
an = 3 - 3(28-3)(28+3) = 3 - 3(25)(31) = 3 - 3(775) = 3 - 2325 = -2322
an = 3 - 3(29-3)(29+3) = 3 - 3(26)(32) = 3 - 3(832) = 3 - 2496 = -2493
an = 3 - 3(30-3)(30+3) = 3 - 3(27)(33) = 3 - 3(891) = 3 - 2673 = -2670
an = 3 - 3(31-3)(31+3) = 3 - 3(28)(34) = 3 - 3(952) = 3 - 2856 = -2853
an = 3 - 3(32-3)(32+3) = 3 - 3(29)(35) = 3 - 3(1015) = 3 - 3055 = -3052
an = 3 - 3(33-3)(33+3) = 3 - 3(30)(36) = 3 - 3(1080) = 3 - 3240 = -3237
an = 3 - 3(34-3)(34+3) = 3 - 3(31)(37) = 3 - 3(1147) = 3 - 3441 = -3438
an = 3 - 3(35-3)(35+3) = 3 - 3(32)(38) = 3 - 3(1216) = 3 - 3648 = -3645
an = 3 - 3(36-3)(36+3) = 3 - 3(33)(39) = 3 - 3(1287) = 3 - 3861 = -3858
an = 3 - 3(37-3)(37+3) = 3 - 3(34
Ciąg (an) dla każdej liczby naturalnej n ≥ 1

Wprowadzenie

Ciąg (an) jest określony wzorem an = 3 - 3(n-3)(n+3). W tym artykule będziemy analizować liczbę nieujemnych wyrazów tego ciągu.

Obliczenia

Aby obliczyć liczbę nieujemnych wyrazów ciągu, musimy najpierw obliczyć wartości poszczególnych wyrazów.

an = 3 - 3(1-3)(1+3) = 3 - 3(-2)(4) = 3 - 3(-8) = 3 + 24 = 27
an = 3 - 3(2-3)(2+3) = 3 - 3(-1)(5) = 3 - 3(-5) = 3 + 15 = 18
an = 3 - 3(3-3)(3+3) = 3 - 3(0)(6) = 3 - 0 = 3
an = 3 - 3(4-3)(4+3) = 3 - 3(1)(7) = 3 - 3(7) = 3 - 21 = -18
an = 3 - 3(5-3)(5+3) = 3 - 3(2)(8) = 3 - 3(16) = 3 - 48 = -45
an = 3 - 3(6-3)(6+3) = 3 - 3(3)(9) = 3 - 3(27) = 3 - 81 = -78
an = 3 - 3(7-3)(7+3) = 3 - 3(4)(10) = 3 - 3(40) = 3 - 120 = -117
an = 3 - 3(8-3)(8+3) = 3 - 3(5)(11) = 3 - 3(55) = 3 - 165 = -162
an = 3 - 3(9-3)(9+3) = 3 - 3(6)(12) = 3 - 3(72) = 3 - 216 = -213
an = 3 - 3(10-3)(10+3) = 3 - 3(7)(13) = 3 - 3(91) = 3 - 273 = -270
an = 3 - 3(11-3)(11+3) = 3 - 3(8)(14) = 3 - 3(112) = 3 - 336 = -333
an = 3 - 3(12-3)(12+3) = 3 - 3(9)(15) = 3 - 3(135) = 3 - 405 = -402
an = 3 - 3(13-3)(13+3) = 3 - 3(10)(16) = 3 - 3(160) = 3 - 480 = -477
an = 3 - 3(14-3)(14+3) = 3 - 3(11)(17) = 3 - 3(187) = 3 - 561 = -558
an = 3 - 3(15-3)(15+3) = 3 - 3(12)(18) = 3 - 3(216) = 3 - 648 = -645
an = 3 - 3(16-3)(16+3) = 3 - 3(13)(19) = 3 - 3(247) = 3 - 741 = -738
an = 3 - 3(17-3)(17+3) = 3 - 3(14)(20) = 3 - 3(280) = 3 - 840 = -837
an = 3 - 3(18-3)(18+3) = 3 - 3(15)(21) = 3 - 3(315) = 3 - 945 = -942
an = 3 - 3(19-3)(19+3) = 3 - 3(16)(22) = 3 - 3(352) = 3 - 1056 = -1053
an = 3 - 3(20-3)(20+3) = 3 - 3(17)(23) = 3 - 3(391) = 3 - 1173 = -1170
an = 3 - 3(21-3)(21+3) = 3 - 3(18)(24) = 3 - 3(432) = 3 - 1296 = -1293
an = 3 - 3(22-3)(22+3) = 3 - 3(19)(25) = 3 - 3(475) = 3 - 1425 = -1422
an = 3 - 3(23-3)(23+3) = 3 - 3(20)(26) = 3 - 3(520) = 3 - 1560 = -1557
an = 3 - 3(24-3)(24+3) = 3 - 3(21)(27) = 3 - 3(567) = 3 - 1701 = -1698
an = 3 - 3(25-3)(25+3) = 3 - 3(22)(28) = 3 - 3(616) = 3 - 1848 = -1845
an = 3 - 3(26-3)(26+3) = 3 - 3(23)(29) = 3 - 3(667) = 3 - 2001 = -1998
an = 3 - 3(27-3)(27+3) = 3 - 3(24)(30) = 3 - 3(720) = 3 - 2160 = -2157
an = 3 - 3(28-3)(28+3) = 3 - 3(25)(31) = 3 - 3(775) = 3 - 2325 = -2322
an = 3 - 3(29-3)(29+3) = 3 - 3(26)(32) = 3 - 3(832) = 3 - 2496 = -2493
an = 3 - 3(30-3)(30+3) = 3 - 3(27)(33) = 3 - 3(891) = 3 - 2673 = -2670
an = 3 - 3(31-3)(31+3) = 3 - 3(28)(34) = 3 - 3(952) = 3 - 2856 = -2853
an = 3 - 3(32-3)(32+3) = 3 - 3(29)(35) = 3 - 3(1015) = 3 - 3055 = -3052
an = 3 - 3(33-3)(33+3) = 3 - 3(30)(36) = 3 - 3(1080) = 3 - 3240 = -3237
an = 3 - 3(34-3)(34+3) = 3 - 3(31)(37) = 3 - 3(1147) = 3 - 3441 = -3438
an = 3 - 3(35-3)(35+3) = 3 - 3(32)(38) = 3 - 3(1216) = 3 - 3648 = -3645
an = 3 - 3(36-3)(36+3) = 3 - 3(33)(39) = 3 - 3(1287) = 3 - 3861 = -3858
an = 3 - 3(37-3)(37+3) = 3 - 3(34